Show how 4 x 3/4 can be solved multiplication and division
To solve 4 x 3/4 using multiplication, you can follow these steps:
Step 1: Convert the whole number 4 into a fraction with a denominator of 1. So, 4 can be rewritten as 4/1.
Step 2: Multiply the numerators together (4 x 3 = 12).
Step 3: Multiply the denominators together (1 x 4 = 4).
Step 4: Write the resulting numerator and denominator as a fraction (12/4).
Step 5: Simplify the fraction if possible. Here, both 12 and 4 can be divided by 4, so the fraction simplifies to 3/1, which is equal to 3.
Therefore, 4 x 3/4 = 3.
Now, let's solve 4 x 3/4 using division.
Step 1: Convert the whole number 4 into a fraction with a denominator of 1, which gives us 4/1.
Step 2: Invert the second fraction (3/4). The reciprocal of 3/4 is 4/3.
Step 3: Multiply the first fraction (4/1) by the reciprocal of the second fraction (4/3). Multiplying fractions is done by multiplying the numerators together and the denominators together.
So, (4/1) * (4/3) = (4 * 4) / (1 * 3) = 16/3.
Therefore, 4 x 3/4 = 16/3.